Black Bodies Heat Exchange by Radiation Solution

STEP 0: Pre-Calculation Summary
Formula Used
Heat Transfer = Emissivity*[Stefan-BoltZ]*Area*(Temperature of Surface 1^(4)-Temperature of Surface 2^(4))
q = ε*[Stefan-BoltZ]*A*(T1^(4)-T2^(4))
This formula uses 1 Constants, 5 Variables
Constants Used
[Stefan-BoltZ] - Stefan-Boltzmann Constant Value Taken As 5.670367E-8
Variables Used
Heat Transfer - (Measured in Watt) - Heat Transfer is the amount of heat that is transferred per unit of time in some material, usually measured in watts (joules per second).
Emissivity - Emissivity is the ability of an object to emit infrared energy. Emissivity can have a value from 0 (shiny mirror) to 1.0 (blackbody). Most organic or oxidized surfaces have emissivity close to 0.95.
Area - (Measured in Square Meter) - The area is the amount of two-dimensional space taken up by an object.
Temperature of Surface 1 - (Measured in Kelvin) - Temperature of Surface 1 is the temperature of the 1st surface.
Temperature of Surface 2 - (Measured in Kelvin) - Temperature of Surface 2 is the temperature of the 2nd surface.
STEP 1: Convert Input(s) to Base Unit
Emissivity: 0.95 --> No Conversion Required
Area: 50 Square Meter --> 50 Square Meter No Conversion Required
Temperature of Surface 1: 101 Kelvin --> 101 Kelvin No Conversion Required
Temperature of Surface 2: 151 Kelvin --> 151 Kelvin No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
q = ε*[Stefan-BoltZ]*A*(T1^(4)-T2^(4)) --> 0.95*[Stefan-BoltZ]*50*(101^(4)-151^(4))
Evaluating ... ...
q = -1119.99370862799
STEP 3: Convert Result to Output's Unit
-1119.99370862799 Watt --> No Conversion Required
FINAL ANSWER
-1119.99370862799 -1119.993709 Watt <-- Heat Transfer
(Calculation completed in 00.004 seconds)

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Osmania University (OU), Hyderabad
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13 Heat and Mass Transfer Calculators

Heat Transfer by Conduction at Base
Go Rate of Conductive Heat Transfer = (Thermal Conductivity*Cross Sectional Area of Fin*Perimeter of the Fin*Convective Heat Transfer Coefficient)^0.5*(Base Temperature-Ambient Temperature)
Heat Exchange by Radiation due to Geometric Arrangement
Go Heat Transfer = Emissivity*Area*[Stefan-BoltZ]*Shape Factor*(Temperature of Surface 1^(4)-Temperature of Surface 2^(4))
Black Bodies Heat Exchange by Radiation
Go Heat Transfer = Emissivity*[Stefan-BoltZ]*Area*(Temperature of Surface 1^(4)-Temperature of Surface 2^(4))
Heat Transfer According to Fourier's Law
Go Heat Flow Through a Body = -(Thermal Conductivity of Material*Surface Area of Heat Flow*Temperature Difference/Thickness)
One Dimensional Heat Flux
Go Heat Flux = -Thermal Conductivity of Fin/Wall Thickness*(Temperature of Wall 2-Temperature of Wall 1)
Newton's Law of Cooling
Go Heat Flux = Heat Transfer Coefficient*(Surface Temperature-Temperature of Characteristic Fluid)
Non Ideal Body Surface Emittance
Go Real Surface Radiant Surface Emittance = Emissivity*[Stefan-BoltZ]*Surface Temperature^(4)
Convective Processes Heat Transfer Coefficient
Go Heat Flux = Heat Transfer Coefficient*(Surface Temperature-Recovery temperature)
Thermal Conductivity given Critical Thickness of Insulation for Cylinder
Go Thermal Conductivity of Fin = Critical Thickness of Insulation*Heat Transfer Coefficient at Outer Surface
Diameter of Rod Circular Fin given Area of Cross-Section
Go Diameter of Circular Rod = sqrt((Cross-sectional area*4)/pi)
Critical Thickness of Insulation for Cylinder
Go Critical Thickness of Insulation = Thermal Conductivity of Fin/Heat Transfer Coefficient
Thermal Resistance in Convection Heat Transfer
Go Thermal Resistance = 1/(Exposed Surface Area*Co-efficient of Convective Heat Transfer)
Heat Transfer
Go Heat Flow Rate = Thermal Potential Difference/Thermal Resistance

13 Conduction, Convection and Radiation Calculators

Heat Transfer by Conduction at Base
Go Rate of Conductive Heat Transfer = (Thermal Conductivity*Cross Sectional Area of Fin*Perimeter of the Fin*Convective Heat Transfer Coefficient)^0.5*(Base Temperature-Ambient Temperature)
Heat Exchange by Radiation due to Geometric Arrangement
Go Heat Transfer = Emissivity*Area*[Stefan-BoltZ]*Shape Factor*(Temperature of Surface 1^(4)-Temperature of Surface 2^(4))
Black Bodies Heat Exchange by Radiation
Go Heat Transfer = Emissivity*[Stefan-BoltZ]*Area*(Temperature of Surface 1^(4)-Temperature of Surface 2^(4))
Heat Transfer According to Fourier's Law
Go Heat Flow Through a Body = -(Thermal Conductivity of Material*Surface Area of Heat Flow*Temperature Difference/Thickness)
One Dimensional Heat Flux
Go Heat Flux = -Thermal Conductivity of Fin/Wall Thickness*(Temperature of Wall 2-Temperature of Wall 1)
Newton's Law of Cooling
Go Heat Flux = Heat Transfer Coefficient*(Surface Temperature-Temperature of Characteristic Fluid)
Non Ideal Body Surface Emittance
Go Real Surface Radiant Surface Emittance = Emissivity*[Stefan-BoltZ]*Surface Temperature^(4)
Thermal Resistance in Conduction
Go Thermal Resistance = (Thickness)/(Thermal Conductivity of Fin*Cross Sectional Area)
Convective Processes Heat Transfer Coefficient
Go Heat Flux = Heat Transfer Coefficient*(Surface Temperature-Recovery temperature)
Thermal Conductivity given Critical Thickness of Insulation for Cylinder
Go Thermal Conductivity of Fin = Critical Thickness of Insulation*Heat Transfer Coefficient at Outer Surface
Critical Thickness of Insulation for Cylinder
Go Critical Thickness of Insulation = Thermal Conductivity of Fin/Heat Transfer Coefficient
Thermal Resistance in Convection Heat Transfer
Go Thermal Resistance = 1/(Exposed Surface Area*Co-efficient of Convective Heat Transfer)
Heat Transfer
Go Heat Flow Rate = Thermal Potential Difference/Thermal Resistance

Black Bodies Heat Exchange by Radiation Formula

Heat Transfer = Emissivity*[Stefan-BoltZ]*Area*(Temperature of Surface 1^(4)-Temperature of Surface 2^(4))
q = ε*[Stefan-BoltZ]*A*(T1^(4)-T2^(4))

What is black body emission?

A black body in thermal equilibrium (that is, at a constant temperature) emits electromagnetic black-body radiation. The radiation is emitted according to Planck's law, meaning that it has a spectrum that is determined by the temperature alone, not by the body's shape or composition.

How to Calculate Black Bodies Heat Exchange by Radiation?

Black Bodies Heat Exchange by Radiation calculator uses Heat Transfer = Emissivity*[Stefan-BoltZ]*Area*(Temperature of Surface 1^(4)-Temperature of Surface 2^(4)) to calculate the Heat Transfer, Black bodies heat exchange by radiation is defined as the heat exchange done by 2 black bodies by thermal radiation. Heat Transfer is denoted by q symbol.

How to calculate Black Bodies Heat Exchange by Radiation using this online calculator? To use this online calculator for Black Bodies Heat Exchange by Radiation, enter Emissivity (ε), Area (A), Temperature of Surface 1 (T1) & Temperature of Surface 2 (T2) and hit the calculate button. Here is how the Black Bodies Heat Exchange by Radiation calculation can be explained with given input values -> -1119.993709 = 0.95*[Stefan-BoltZ]*50*(101^(4)-151^(4)).

FAQ

What is Black Bodies Heat Exchange by Radiation?
Black bodies heat exchange by radiation is defined as the heat exchange done by 2 black bodies by thermal radiation and is represented as q = ε*[Stefan-BoltZ]*A*(T1^(4)-T2^(4)) or Heat Transfer = Emissivity*[Stefan-BoltZ]*Area*(Temperature of Surface 1^(4)-Temperature of Surface 2^(4)). Emissivity is the ability of an object to emit infrared energy. Emissivity can have a value from 0 (shiny mirror) to 1.0 (blackbody). Most organic or oxidized surfaces have emissivity close to 0.95, The area is the amount of two-dimensional space taken up by an object, Temperature of Surface 1 is the temperature of the 1st surface & Temperature of Surface 2 is the temperature of the 2nd surface.
How to calculate Black Bodies Heat Exchange by Radiation?
Black bodies heat exchange by radiation is defined as the heat exchange done by 2 black bodies by thermal radiation is calculated using Heat Transfer = Emissivity*[Stefan-BoltZ]*Area*(Temperature of Surface 1^(4)-Temperature of Surface 2^(4)). To calculate Black Bodies Heat Exchange by Radiation, you need Emissivity (ε), Area (A), Temperature of Surface 1 (T1) & Temperature of Surface 2 (T2). With our tool, you need to enter the respective value for Emissivity, Area, Temperature of Surface 1 & Temperature of Surface 2 and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Heat Transfer?
In this formula, Heat Transfer uses Emissivity, Area, Temperature of Surface 1 & Temperature of Surface 2. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Heat Transfer = Emissivity*Area*[Stefan-BoltZ]*Shape Factor*(Temperature of Surface 1^(4)-Temperature of Surface 2^(4))
  • Heat Transfer = Emissivity*Area*[Stefan-BoltZ]*Shape Factor*(Temperature of Surface 1^(4)-Temperature of Surface 2^(4))
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